Pith Number

pith:ERQZIJBH

pith:2024:ERQZIJBHUKS6TY3BH7L56L3ZC6

not attested not anchored not stored refs pending

From Sparse Dependence to Sparse Attention: Unveiling How Chain-of-Thought Enhances Transformer Sample Efficiency

Hongzhou Lin, Huaqing Zhang, Jingzhao Zhang, Kaiyue Wen

arxiv:2410.05459 v2 · 2024-10-07 · cs.LG · cs.CL · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERQZIJBHUKS6TY3BH7L56L3ZC6}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

5 papers in Pith

Transformers Provably Learn to Internalize Chain-of-Thought

Agentic Transformers Provably Learn to Search via Reinforcement Learning

Steered Generation via Gradient-Based Optimization on Sparse Query Features

The two clocks and the innovation window: When and how generative models learn rules

The Power of Power Law: Asymmetry Enables Compositional Reasoning

Receipt and verification

First computed	2026-07-05T10:24:26.320580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2461942427a2a5e9e3613fd7df2f79179fe654a7b6c10dae1b3f11f92020dee5

Aliases

arxiv: 2410.05459 · arxiv_version: 2410.05459v2 · doi: 10.48550/arxiv.2410.05459 · pith_short_12: ERQZIJBHUKS6 · pith_short_16: ERQZIJBHUKS6TY3B · pith_short_8: ERQZIJBH

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ERQZIJBHUKS6TY3BH7L56L3ZC6 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2461942427a2a5e9e3613fd7df2f79179fe654a7b6c10dae1b3f11f92020dee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f377249166e76366c44895ec04f394ce12fc6fb5f94c13eb5077c05b8a0e4e7f",
    "cross_cats_sorted": [
      "cs.CL",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2024-10-07T19:45:09Z",
    "title_canon_sha256": "d2e58c13cd729fa3d2505fc9b0fe7a9266ed2c2b8b4624fc974ae7ef8ff22418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.05459",
    "kind": "arxiv",
    "version": 2
  }
}